10211110122181 has 2 divisors, whose sum is σ = 10211110122182. Its totient is φ = 10211110122180.

The previous prime is 10211110122167. The next prime is 10211110122263. The reversal of 10211110122181 is 18122101111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9971959781281 + 239150340900 = 3157841^2 + 489030^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211110122181 - 2³¹ = 10208962638533 is a prime.

It is a super-2 number, since 2×10211110122181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211110122281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105555061090 + 5105555061091.

It is an arithmetic number, because the mean of its divisors is an integer number (5105555061091).

Almost surely, 2^{10211110122181} is an apocalyptic number.

It is an amenable number.

10211110122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211110122181 is an equidigital number, since it uses as much as digits as its factorization.

10211110122181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 10211110122181 its reverse (18122101111201), we get a palindrome (28333211233382).

The spelling of 10211110122181 in words is "ten trillion, two hundred eleven billion, one hundred ten million, one hundred twenty-two thousand, one hundred eighty-one".